The Student Council at Longhorn Middle School wants to petition the principal to begin school at 9 A. M., which is one hour later than the current start time, 8 A. M. To support their petition, the Student Council conducts a survey to determine students’ preferred start time. Describe a surveying method the Student Council can use to obtain a representative sample.

Which transformations could have occurred to map △abc to △a"b"c"? a rotation and a reflection a translation and a dilation a reflection and a dilation a dilation and a rotation

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.